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Simplifying 35 + -2m = 7(5m + -5) + -6m Reorder the terms: 35 + -2m = 7(-5 + 5m) + -6m 35 + -2m = (-5 * 7 + 5m * 7) + -6m 35 + -2m = (-35 + 35m) + -6m Combine like terms: 35m + -6m = 29m 35 + -2m = -35 + 29m Solving 35 + -2m = -35 + 29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-29m' to each side of the equation. 35 + -2m + -29m = -35 + 29m + -29m Combine like terms: -2m + -29m = -31m 35 + -31m = -35 + 29m + -29m Combine like terms: 29m + -29m = 0 35 + -31m = -35 + 0 35 + -31m = -35 Add '-35' to each side of the equation. 35 + -35 + -31m = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -31m = -35 + -35 -31m = -35 + -35 Combine like terms: -35 + -35 = -70 -31m = -70 Divide each side by '-31'. m = 2.258064516 Simplifying m = 2.258064516
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